Question

if coshx=sec alpha the cosechx=

Answer 1

Answer:

According to the question,

cosh x = sec α  

cosh² x = sec²α  [ square both side ]

sinh² x = sec² α - 1 = tan²α  [ we know that cosh² x - sinh² x = 1 ]

So,

cosech² x = cot² α  

That is, cosech (x) =  +/- cot α

So the final answer is +/- cot α .